The orthocenter is Blank 1 Question 17 of the the triangle, in an obtuse triangle.

4. Draw an obtuse-angled ∆LMN. Draw its altitudes and denote the orthocenter by ‘O’.

Which best describes the orthocenter of a triangle?A.The point where the perpendicular bisectors of the three sides of the triangle intersectB.The point where the three angle bisectors of the triangle intersectC.The point where the three medians of the triangle intersectD.The point where the three altitudes of the triangle intersect

The ____________ is equidistant from the each vertex of the triangle. Question 21Answera.circumcenterb.centroidc.orthocenterd.incenter

Match the definition to the correct word(s).  __________ is always outside the triangle opposite the longest leg, on the same side as the largest angle.Answer 1 Question 6The distance between the centroid and the orthocenter is always twice the distance between the centroid and the _______.Answer 2 Question 6In obtuse triangles, the circumcenter is always outside the triangle opposite the ________.Answer 3 Question 6

Which of the following sets of 3 lengths, in decimeters, are the side lengths of an obtuse triangle?